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4 years ago

adam drove 280 miles in 4 hours . on average, how fast did he drive in hours per mile ? Express your answer in simplest form

Mathematics

1 answer:

Ivan4 years ago

5 0

Answer:

Step-by-step explanation:

$\frac{4 hours}{280 miles}$

$\frac{1 hour}{70 miles}$

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A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determinin

riadik2000 [5.3K]

Answer:

Option b - not significantly greater than 75%.

Step-by-step explanation:

A random sample of 100 people was taken i.e. n=100

Eighty of the people in the sample favored Candidate i.e. x=80

We have used single sample proportion test,

$p=\frac{x}{n}$

$p=\frac{80}{100}$

$p=0.8$

Now we define hypothesis,

Null hypothesis $H_0$ : candidate A is significantly greater than 75%.

Alternative hypothesis $H_1$ : candidate A is not significantly greater than 75%.

Level of significance $\alpha=0.05$

Applying test statistic Z -proportion,

$Z=\frac{\widehat{p}-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}$

Where, $\widehat{p}=80\%=0.80$ and $p=75%=0.75$

Substitute the values,

$Z=\frac{0.80-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}$

$Z=\frac{0.80-0.75}{\sqrt{\frac{0.1875}{100}}}$

$Z=\frac{0.05}{0.0433}$

$Z=1.1547$

The p-value is

$P(Z>1.1547)=1-P(Z$

$P(Z>1.1547)=1-0.8789$

$P(Z>1.1547)=0.1241$

Now, the p-value is greater than the 0.05.

So we fail to reject the null hypothesis and conclude that the A is not significantly greater than 75%.

Therefore, Option b is correct.

7 0

3 years ago

20 points!! Need help with 8

hjlf

the answer is D x= x 5 because it make sense

4 0

3 years ago

Three consecutive even integers have a sum of 48 . find the integers.

Mandarinka [93]

x+(x+2)+(x+4)=48

3x+6=48

Minus 6 to both sides

3x=42

Divide 3 to both sides

x=14

Get the next two integers

x,x+2,x+4 or 14,16,18 = 48 is you Answer

4 0

3 years ago

colored markers cost 78 cents each Pablo has 21.62 dollars in his pocket how many markers can Pablo buy

USPshnik [31]

Answer:

he can buy 30

Step-by-step explanation:

21.62 divided by .78 = 30.0277777778,you dont have enough for 31

6 0

3 years ago

Please help, and show work if you can!! :))

dmitriy555 [2]

Answer:

Step-by-step explanation:

ΔABD ≅ ΔCBD .

So AD = DC

8x - 4 = 3x + 1 {add 4 to both sides}

8x = 3x + 1 + 4

8x = 3x + 5 {subtract 3s from both sides}

8x - 3x= 5

5x = 5 {divide both sides by 5}

x = 5/5

x = 1

8 0

3 years ago